Valuing options with hybrid default risk under the stochastic volatility model

In this paper, we study the valuation of options with hybrid default risk when the underlying assets are driven by a two-factor stochastic volatility model. The hybrid default model is developed by integrating the reduced-form and structural models, and the correlation between the underlying asset and default risk is considered. In the proposed framework, we adopt the probabilistic approach based on the measure-change technique to obtain an explicit pricing formula for the option. Finally, we present several numerical examples including discussions.